It may seem obvious that everyone sitting in a meeting would know exactly what has been going on. There can, however, be misinterpretations. Time spent on reviews and summaries is never time wasted.
People are rightly wary of minutes because the person writing the minutes can slip in, honestly or otherwise, matters which were not agreed upon.

Being clear in one's own mind about what has been agreed is extremely important. So having a way of asking for a review is also extremely important.